JOHANNESBURG — Reeva Steenkamp's coffin was draped in a white cloth and carried by six pallbearers at a private funeral Tuesday, just a few hours before Oscar Pistorius said in a court affidavit that he mistakenly killed his girlfriend by shooting her through a bathroom door.

Reeva's uncle, Mike Steenkamp, broke down in tears after the cremation ceremony under gray skies in the family's hometown of Port Elizabeth on South Africa's southern coast, saying between sobs: "We are here as a family and there's only one thing missing and that's Reeva."

"We've got together but we miss one," her uncle said as he composed himself.

A relative of Reeva Steenkamp holds the funeral program at a service on Tuesday in South Africa. (Alexander Joe, AFP/Getty Images)

Reeva's parents, Barry and June Steenkamp, hugged mourners after the ceremony, which was closed to the media and the public on the wishes of the family. Singing could be heard from inside the building as reporters waited a short distance away outside the gate of the Victoria Park Crematorium.

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